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Finding the Third Proportional to 742,116 and 1,589,172

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Solution

The third proportional to 742,116 and 1,589,172 is: 3,403,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,116 : 1,589,172 = 1,589,172 : x
  2. Step 2: Convert to fraction form
    742,116/1,589,172 = 1,589,172/x
  3. Step 3: Cross multiply
    742,116x = 1,589,172 × 1,589,172
  4. Step 4: Simplify right side
    742,116x = 2,525,467,645,584
  5. Step 5: Solve for x
    x = 2,525,467,645,584/742,116
  6. Step 6: Final answer
    x = 3,403,063.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.